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Finding the Fourth Proportional to 405.37, 559.40 and 258.15

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Solution

The fourth proportional to 405.37, 559.40 and 258.15 is: 356.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.37 : 559.40 = 258.15 : x
  2. Step 2: Convert to fraction form
    405.37/559.40 = 258.15/x
  3. Step 3: Cross multiply
    405.37x = 559.40 × 258.15
  4. Step 4: Simplify right side
    405.37x = 144,407.82
  5. Step 5: Solve for x
    x = 144,407.82/405.37
  6. Step 6: Final answer
    x = 356.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.